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Radiation Shielding Half-Value Layer Calculator

Find how much radiation a shield blocks and the thickness that halves it.

Inputs

Results

Fraction transmitted39.8519%
Half-value layer thickness1.506842cm

Chart

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Describe what you want to find — “half value layer” — and jump to the right calculator.

How to use the radiation shielding half-value layer calculator

Find how much radiation a shield blocks and the thickness that halves it. Enter linear attenuation coefficient, shield thickness in the fields above; the fraction transmitted, half-value layer thickness are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “half value layer”, “gamma shielding”, “how thick should lead shield be”, “calculate radiation shielding half-value layer”, “find fraction transmitted”.

Formula

Fraction transmitted (%) = 100 × exp(-mu × th)
Half-value layer thickness (cm) = ln(2) / mu

Variables

  • mu — Linear attenuation coefficient (1/cm)
  • th — Shield thickness (cm)

Worked example

With linear attenuation coefficient = 0.46 1/cm, shield thickness = 2 cm, the calculator gives fraction transmitted ≈ 39.8519 %; half-value layer thickness ≈ 1.506842 cm.

Frequently asked questions

What is the radiation shielding half-value layer calculator used for?

Find how much radiation a shield blocks and the thickness that halves it. It helps with questions such as “half value layer”, “gamma shielding”, “how thick should lead shield be”.

What is the formula for the radiation shielding half-value layer calculation?

Fraction transmitted (%) = 100 × exp(-mu × th). Half-value layer thickness (cm) = ln(2) / mu. Here mu is linear attenuation coefficient (1/cm), th is shield thickness (cm).

What inputs do I need for the radiation shielding half-value layer calculator?

You need linear attenuation coefficient in 1/cm, shield thickness in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the radiation shielding half-value layer calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the radiation shielding half-value layer result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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